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Finding the Third Proportional to 3,194,184 and 6,855,696

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Solution

The third proportional to 3,194,184 and 6,855,696 is: 14,714,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,184 : 6,855,696 = 6,855,696 : x
  2. Step 2: Convert to fraction form
    3,194,184/6,855,696 = 6,855,696/x
  3. Step 3: Cross multiply
    3,194,184x = 6,855,696 × 6,855,696
  4. Step 4: Simplify right side
    3,194,184x = 47,000,567,644,416
  5. Step 5: Solve for x
    x = 47,000,567,644,416/3,194,184
  6. Step 6: Final answer
    x = 14,714,420.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.